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4 years ago

8

How do I solve this ?

1 answer:

eduard4 years ago

6 0

Look at the picture.

ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:

$\dfrac{DC}{ZX}=\dfrac{DY}{ZY}$

DC = x

ZX = 16

DY = a

ZY = a + a = 2a

Substitute:

$\dfrac{x}{16}=\dfrac{a}{2a}$

$\dfrac{x}{16}=\dfrac{1}{2}$ <em>multiply both sides by 16</em>

$\boxed{x=8}$

<h3>Answer: CD = 8</h3>

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3 years ago

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See attachment

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